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Shell elements with drilling degree of freedoms based on micropolar elasticity theory
Author(s) -
Yeh JyiTyan,
Chen WenHwa
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620360705
Subject(s) - stiffness , spurious relationship , elasticity (physics) , finite element method , structural engineering , shell (structure) , coupling (piping) , degree (music) , drilling , moment (physics) , engineering , mechanics , mathematics , classical mechanics , materials science , physics , mechanical engineering , composite material , statistics , acoustics
Based on the theory of micropolar elasticity, new degenerated shell elements with drilling degree of freedoms are presented. The proper stiffness on the drilling degree of freedom is derived and no spurious modes are encountered in these elements. The implementation of these new shell elements on general structural finite element programs has many advantages, especially for the analysis of a folded shell or the treatment of the twist moment normal to the shell. Several numerical examples are carried out to demonstrate the accuracy and applicability of the present elements. The effects of the coupling factor and the body moment induced in magneto‐solid mechanics are also studied.